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Syllogism Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Syllogism. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 1 - Statements:
I. No point is a brake.
II. No catch is a brake.
Conclusions:
I. Some points are not catches.
II. Some brakes are catches.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : D
Explanation
No point is a brake (E) + (no catch is brake- conversion-) no brake is a catch (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no catch is a brake- conversion – no brake is a catch. Hence conclusion II also does not follow.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 2 - Statements:
I. Some lasers are X-rays.
II. Some X-rays are UV rays.
Conclusions:
I. Some X-rays are lasers.
II. Some UV rays are X-rays.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : E
Explanation
Both the conclusions are immediate inferences drawn from statements and follow the rule of conversion.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 3 - Statements:
I. No project is a construction.
II. All constructions are manufacture.
Conclusions:
I. At least some manufacture are construction.
II. No cover is a project.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
All constructions are manufacture (A) – conversion – some manufacture are constructions (I). Hence conclusion I follows. No project is a construction (E) + all construction are manufacture (A) = E + A = O ∗ = some manufacture are not project. Hence conclusion II does not follow.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 4 - Statements:
I. Some dirty are mud.
II. Some mud are clean.
Conclusions:
I. Some mud are dirty.
II. Some clean are mud.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : E
Explanation
Both the conclusions are immediate inferences drawn from statements and follow the rule of conversion.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 5 - Statements:
I. Some creams are powders.
II. Some powders are lotions.
Conclusions:
I. Some creams are lotions.
II. All lotions are powders.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : D
Explanation
Conclusion II is an immediate inference drawn from second statement and this is not valid as per rule of conversion. Conclusion I is a mediate inference. But as per table of mediate inference, I + I = no result. Hence none of the conclusions follow.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 6 - Statements:
I. No cycle is a motorcycle.
II. No motorcar is a motorcycle.
Conclusions:
I. Some cycles are not motorcars.
II. Some motorcycles are motorcars.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : D
Explanation
No cycle is a motorcycle (E) + (no motorcar is motorcycle conversion-) no motorcycle is a motorcar (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no motorcar is a motorcycle conversion-no motorcycle is a motorcar. Hence conclusion II also does not follow.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 7 - Statements:
I. All jeeps are cars.
II. Some cars are Hondas.
Conclusions:
I. Some Hondas are cars.
II. No jeeps is a Honda.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
All jeeps are cars (A) + some car are Hondas (I) = A + I = no conclusion. Hence conclusion II does not follow. Again, some cars are Hondas (I) - conversion - some Hondas are car (I). Hence conclusion I follows.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 8 - Statements:
I. Some intelligent are fools.
II. Some fools are great.
Conclusions:
I. Some intelligent are great.
II. All great are fools.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : D
Explanation
Conclusion II is an immediate inference drawn from second statement and this is not valid as per rule of conversion. Conclusion 1 is a mediate inference. But as per table of mediate inference, I + I = no result. Hence none of the conclusion follows.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 9 - Statements:
I. Some rulers are dancers.
II. All dancers are short.
Conclusions:
I. Some rulers are short.
II. All rulers are short.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
Both the statements are aligned, i.e. predicate of the first is the subject of the second. From the table of mediate inference, we know that I + A =I. Hence conclusion “some rulers are short” follows.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 10 - Statements:
I. Some goalkeepers are wicketkeepers.
II. All wicketkeepers are cunning.
Conclusions:
I. Some goalkeepers are cunning.
II. All goalkeepers are cunning.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
Both the statements are aligned, i.e. predicate of the first is the subject of the second. From the table of mediate inference, we know that I + A = I. Hence conclusion “some goalkeepers are cunning” follow.
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